Selbstduale Codes über dem Ring der ganzen Zahlen modulo 4. (Self-dual codes over the ring of integers modulo 4)

DOI10.1007/BF01198572zbMath0647.94019OpenAlexW2094675601MaRDI QIDQ1104908

Michael Klemm

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01198572

zbMATH Keywords

ring of invariantsMacWilliams identityself-dual codescomplete weight enumeratorMolien seriesrepetition codegood polynomial basis

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Representations of groups as automorphism groups of algebraic systems (20F29)

Related Items

Cyclic codes over finite rings ⋮ A note on checkable codes over Frobenius and quasi-Frobenius rings ⋮ Type IV-II codes over Z4 constructed from generalized bent functions ⋮ Double circulant codes over \(\mathbb{Z}_ 4\) and even unimodular lattices ⋮ Self-dual codes over the integers modulo 4 ⋮ Cyclic self-dual \(\mathbb Z_4\)-codes. ⋮ Extremal double circulant type II codes over \(\mathbb Z_4\) and construction of 5-(24,10,36) designs. ⋮ Niemeier lattices and Type II codes over \(\mathbb{Z}_4\) ⋮ Type II self-dual codes over finite rings and even unimodular lattices ⋮ Duadic \(\mathbb{Z}_4\)-codes ⋮ Fourier-reflexive partitions and MacWilliams identities for additive codes

Cites Work

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• Über die Identität von MacWilliams für die Gewichtsfunktion von Codes
• Weight enumerators of self-orthogonal codes
• Self-dual codes over GF(4)
• Weight Enumerators of Self-Orthogonal Codes over $GF$(3)